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21720072 = 23311292837
BaseRepresentation
bin101001011011…
…0110000001000
31111212111100010
41102312300020
521030020242
62053311520
7352421553
oct122666010
944774303
1021720072
1111295680
1273355a0
13466631a
142c5569a
151d9089c
hex14b6c08

21720072 has 64 divisors (see below), whose sum is σ = 61300800. Its totient is φ = 6352640.

The previous prime is 21720053. The next prime is 21720109. The reversal of 21720072 is 27002712.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6238 + ... + 9074.

It is an arithmetic number, because the mean of its divisors is an integer number (957825).

Almost surely, 221720072 is an apocalyptic number.

21720072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21720072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30650400).

21720072 is an abundant number, since it is smaller than the sum of its proper divisors (39580728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21720072 is a wasteful number, since it uses less digits than its factorization.

21720072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 21720072 is about 4660.4798036254. The cubic root of 21720072 is about 279.0104182849.

Adding to 21720072 its reverse (27002712), we get a palindrome (48722784).

The spelling of 21720072 in words is "twenty-one million, seven hundred twenty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 2837 3828 5674 7656 8511 11348 17022 22696 31207 34044 62414 68088 82273 93621 124828 164546 187242 246819 249656 329092 374484 493638 658184 748968 905003 987276 1810006 1974552 2715009 3620012 5430018 7240024 10860036 21720072